(6p+7)(8p+2)=

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Solution for (6p+7)(8p+2)= equation: 


Simplifying
(6p + 7)(8p + 2) = 0

Reorder the terms:
(7 + 6p)(8p + 2) = 0

Reorder the terms:
(7 + 6p)(2 + 8p) = 0

Multiply (7 + 6p) * (2 + 8p)
(7(2 + 8p) + 6p * (2 + 8p)) = 0
((2 * 7 + 8p * 7) + 6p * (2 + 8p)) = 0
((14 + 56p) + 6p * (2 + 8p)) = 0
(14 + 56p + (2 * 6p + 8p * 6p)) = 0
(14 + 56p + (12p + 48p2)) = 0

Combine like terms: 56p + 12p = 68p
(14 + 68p + 48p2) = 0

Solving
14 + 68p + 48p2 = 0

Solving for variable 'p'.

Factor out the Greatest Common Factor (GCF), '2'.
2(7 + 34p + 24p2) = 0

Factor a trinomial.
2((7 + 6p)(1 + 4p)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(7 + 6p)' equal to zero and attempt to solve:

Simplifying
7 + 6p = 0

Solving
7 + 6p = 0

Move all terms containing p to the left, all other terms to the right.

Add '-7' to each side of the equation.
7 + -7 + 6p = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 6p = 0 + -7
6p = 0 + -7

Combine like terms: 0 + -7 = -7
6p = -7

Divide each side by '6'.
p = -1.166666667

Simplifying
p = -1.166666667

Subproblem 2
Set the factor '(1 + 4p)' equal to zero and attempt to solve:

Simplifying
1 + 4p = 0

Solving
1 + 4p = 0

Move all terms containing p to the left, all other terms to the right.

Add '-1' to each side of the equation.
1 + -1 + 4p = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 4p = 0 + -1
4p = 0 + -1

Combine like terms: 0 + -1 = -1
4p = -1

Divide each side by '4'.
p = -0.25

Simplifying
p = -0.25
Solution
p = {-1.166666667, -0.25}

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